Matemática de nivelación Act. 2B.

1. 1) 15-
(−
5
8
)
−2
+
64
−9
+ (
2
−6
−
9
6
− (−
7
4
))
−1
+ (√
3
4
+
1
2
3
)
3
− (−
4
5
+ 2) =
1
(−
5
8
)
2 +
1296
−9
∗ (
2 ∗ 1
2 ∗ −3
−
9
6
− (−
7
4
))
−1
+ (√
3 + 2
4
3
)
3
− (−
4
5
+
2 ∗ 5
5
) =
1
1 ∗
52
82
− 144 (−
1
3
−
3
2
+
7
4
)
−1
+ (√
3 + 2
4
3
)
3
−
−4 + 10
5
=
64
25
− 144 (
−(1∗ 2) − (3 ∗ 3)
6
+
7
4
)
−1
+ (
√53
√43
)
3
−
6
5
=
64
25
− 144(−
11
6
+
7
4
)
−1
+ (
√53
√43
∗
√423
√423
)
3
−
6
5
=
64
25
− 144(
−22 + 21
12
)
−1
+ (
√5 ∗ 163
4
)
3
−
6
5
=
64
25
− 144(
1
−
1
12
) + (
√803
4
)
3
−
6
5
=
64
25
− 144 + 1(−1 ∗ 12) + (
√22 ∗ 10
3
2∗ 2
)
3
−
6
5
=
64
25
− 144 − 12 +
(√103
)
3
23 −
6
5
=
64 − 144 ∗ 25
25
− 12 +
10
8
−
6
5
=
−
3536
25
− 12 +
5
4
−
6
5
=
−3536 − 12 ∗ 25
25
+
5
4
−
6
5
=
−3836
25
+
5
4
−
6
5
=
(−3836 ∗ 4) + (5 ∗ 25)
100
−
6
5
=
−15219 − (6 ∗ 20)
100
=
−
15339
100
=153,44

2. 2) 15-

3. (0,036−1
∗ 102
∗ 10−3)2
∗ 0,1296 ∗ 0,0063
1
6
∗ 36−1 ∗ 104 ∗ 0,6 ∗ 10
=
((
36
1000
)
−1
∗ 102
∗ 10−3
)
2
∗ (
1296
10000
)∗ (
6
1000
)
3
(
1
6
) ∗
1
36
∗ 104 ∗ 6
=
((
36
1000
)
−1
∗ 102
∗ 10−3
)
2
1
∗
1296
10000
∗ (
6
1000
)
3
1
6
∗
1
36
∗ 104 ∗ 6
=
((
36
1000
)
−1
∗ 102
∗ 10−3
)
2
∗ 1296
10000
∗
(
6
1000
)
3
1
104 ∗ 6
63
=
((
36
1000
)
−1
∗ 102
∗ 10−3
)
2
∗ 1296 ∗ (
6
1000
)
3
10000
∗
63
104 ∗ 6
=
16 ∗ (((
62
103)
−1
∗ 102
∗ 10−3
)
2
∗ 81(
6
103)
3
)
16 ∗ 625
∗
63
104 ∗ 6
=
(
103
62 ∗
102
103)
2
∗ 81(
63
109)
625
∗
63
104 ∗ 6
=
104
64 ∗
81 ∗ 63
109
625
∗
63
104 ∗ 6
=
81 ∗ 63
64 ∗ 105 ∗ 625
∗
63
104 ∗ 6
=
81 ∗ 6
105 ∗ 625 ∗ 104
=
486
109 ∗ 625
=
486
625000000000
= 7,776 ∗ 10−10

4. 3) 15-
Log3(
27
35)+log3 27−1
log3 0,3−2+log3 0.03−(log3 0,0003)−4 log3 10
+ ln 𝑒−3
∗ ln 𝑒−2
=
log3
27
243
+ log3
1
27
log3 (
3
10
)
−2
+ log3 (
3
100
) − log3 (
3
10000
) − 4 log3 10
+ ln 𝑒−3
ln 𝑒−2
=
−2 − 3
log3
100
9
+ log3
3
100
− log3
3
10000
− 4log3 104
− 3ln 𝑒 ∗ ln 𝑒−2
=
−5
log3 (
100
9
∗
3
100
) − log3
3
10000
− log3 10000
− 3 ∗ 1 ∗ ln( 𝑒−2) =
−5
log3 (
100
9
∗
3
100
3
10000
) − log3 10000
− 3 ∗ (−2ln 𝑒) =

5. −5
log3
100
9
∗
3
100
∗
100000
3
∗
1
10000
+ 6 =
−5
log3
1
9
+ 6 =
−5
−2
+ 6 =
5 + 12
2
=
17
2